On a tropical dual Nullstellensatz

DOI10.1016/j.aam.2011.11.004zbMath1247.14067arXiv1108.0519OpenAlexW1977220030MaRDI QIDQ408132

Dima Yu. Grigoriev

Publication date: 29 March 2012

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.0519

zbMATH Keywords

Cayley matrixdual Nullstellensatzsolving tropical polynomial systems

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20)

Related Items (max. 100)

Tropical polynomial algebras ⋮ Kernels in tropical geometry and a Jordan–Hölder theorem ⋮ Tropical effective primary and dual Nullstellensätze ⋮ Entropy of tropical holonomic sequences ⋮ Tropical recurrent sequences

Cites Work

• Unnamed Item
• Tropical resultants for curves and stable intersection
• On the efficiency of effective Nullstellensätze
• On the frontiers of polynomial computations in tropical geometry
• TROPICAL ALGEBRAIC SETS, IDEALS AND AN ALGEBRAIC NULLSTELLENSATZ
• Max-linear Systems: Theory and Algorithms
• The Tropical Rank of a Tropical Matrix
• Sharp Effective Nullstellensatz
• A tropical nullstellensatz
• Tropical algebraic geometry

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